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Rewrite ((5^5)(8^-5))^10 in the form 5^m *8^n

 Mar 11, 2015

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 #1
avatar+118613 
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$$\\((5^5)(8^{-5}))^{10} \\\\
=(5^5*8^{-5})^{10} \\\\
=5^{5*10}*8^{-5*10} \\\\
=5^{50}*8^{-50} \\\\$$

.
 Mar 11, 2015
 #1
avatar+118613 
+5
Best Answer

$$\\((5^5)(8^{-5}))^{10} \\\\
=(5^5*8^{-5})^{10} \\\\
=5^{5*10}*8^{-5*10} \\\\
=5^{50}*8^{-50} \\\\$$

Melody Mar 11, 2015

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